Dimension estimate for the two-sided points of planar Sobolev extension domains

Takanen, Jyrki

doi:10.1090/proc/16362

dc.contributor.author	Takanen, Jyrki
dc.date.accessioned	2024-02-29T08:30:08Z
dc.date.available	2024-02-29T08:30:08Z
dc.date.issued	2023
dc.identifier.citation	Takanen, J. (2023). Dimension estimate for the two-sided points of planar Sobolev extension domains. <i>Proceedings of the American Mathematical Society</i>, <i>151</i>(9), 3779-3792. <a href="https://doi.org/10.1090/proc/16362" target="_blank">https://doi.org/10.1090/proc/16362</a>
dc.identifier.other	CONVID_184117644
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/93759
dc.description.abstract	In this paper we give an estimate for the Hausdorff dimension of the set of two-sided points of the boundary of bounded simply connected Sobolev W1,p-extension domain for 1 < p < 2. Sharpness of the estimate is shown by examples. We also prove the equivalence of different definitions of two-sided points.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society (AMS)
dc.relation.ispartofseries	Proceedings of the American Mathematical Society
dc.rights	CC BY-NC 4.0
dc.title	Dimension estimate for the two-sided points of planar Sobolev extension domains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202402292231
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	3779-3792
dc.relation.issn	0002-9939
dc.relation.numberinseries	9
dc.relation.volume	151
dc.type.version	acceptedVersion
dc.rights.copyright	© 2023 American Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	314789
dc.subject.yso	mittateoria
dc.subject.yso	funktionaalianalyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
dc.rights.url	https://creativecommons.org/licenses/by-nc/4.0/
dc.relation.doi	10.1090/proc/16362
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The author was supported by the Academy of Finland, grant no. 314789.
dc.type.okm	A1